Graduate Texts in Mathematics（GTM）是Springer-Verlag公司出版的一个数学基础系列书籍，包括了数学分析、高等代数、复变分析、概率论、随机过程等较高层次的优秀数学教材。

丛书书目：

1 Takeuti/Zaring. Introduction to Axiomatic Set Theory. 2nd ed.

2 Oxtoby. Measure and Category. 2nd ed.

3 Schaefer. Topological Vector Spaces. 2nd ed.

4 Hilton/Stammbach. A Course in Homological Algebra. 2nd ed.

5 Mac Lane. Categories for the Working Mathematician. 2nd ed.

6 Hughes/Piper. Projective Planes.

7 J.-P. Serre. A Course in Arithmetic.

8 Takeuti/Zaring. Axiomatic Set Theory.

9 Humphreys. Introduction to Lie Algebras and Representation Theory.

10 Cohen. A Course in Simple Homotopy theory.

11 Conway. Functions of One Complex Variable I. 2nd ed.

12 Beals. Advanced Mathematical Analysis.

13 Anderson/Fuller. Rings and Categories of Modules. 2nd ed.

14 Golubitsky/Guillemin. Stable Mappings and Their Singularities.

15 Berberian. Lectures in Functional Analysis and Operator Theory.

16 Winter. The Structure of Fields.

17 Rosenblatt. Random Processes. 2nd ed.

18 Halmos. Measure Theory.

19 Halmos. A Hilbert Space Problem Book. 2nd ed.

20 Husemoller. Fibre Bundles. 3rd ed.

21 Humphreys. Linear Algebraic Groups.

22 Barnes/Mack. An Algebraic Introduction to Mathematical Logic.

23 Greub. Linear Algebra. 4th ed.

24 Holmes. Geometric Functional Analysis and Its Applications.

25 Hewitt/Stromberg. Real and Abstract Analysis.

26 Manes. Algebraic Theories.

27 Kelley. General Topology.

28 Zariski/Samuel. Commutative Algebra. Vol.1.

29 Zariski/Samuel. Commutative Algebra. Vol.11.

30 Jacobson. Lectures in Abstract Algebra I. Basic Concepts.

31 Jacobson. Lectures in Abstract Algebra II. Linear Algebra.

32 Jacobson Lectures in Abstract Algebra III. Theory of Fields and Galois Theory.

33 Hirsch. Differential Topology.

34 Spitzer. Principles of Random Walk. 2nd ed.

35 Alexander/Wermer. Several Complex Variables and Banach Algebras. 3rd ed.

36 Kelley/Namioka et al. Linear Topological Spaces.

37 Monk. Mathematical Logic.

38 Grauert/Fritzsche. Several Complex Variables.

39 Arveson. An Invitation to C*-Algebras.

40 Kemeny/Snell/Knapp. Denumerable Markov Chains. 2nd ed.

41 Apostol. Modular Functions and Dirichlet Series in Number Theory. 2nd ed.

42 J.-P. Serre. Linear Representations of Finite Groups.

43 Gillman/Jerison. Rings of Continuous Functions.

44 Kendig. Elementary Algebraic Geometry.

45 Loeve. Probability Theory I. 4th ed.

46 Loeve. Probability Theory II. 4th ed.

47 Moise. Geometric Topology in Dimensions 2 and 3.

48 Sachs/Wu. General Relativity for Mathematicians.

49 Gruenberg/Weir. Linear Geometry. 2nd ed.

50 Edwards. Fermat's Last Theorem.

51 Klingenberg. A Course in Differential Geometry.

52 Hartshorne. Algebraic Geometry.

53 Manin. A Course in Mathematical Logic.

54 Graver/Watkins. Combinatorics with Emphasis on the Theory of Graphs.

55 Brown/Pearcy. Introduction to Operator Theory I: Elements of Functional Analysis.

56 Massey. Algebraic Topology: An Introduction.

57 Crowell/Fox. Introduction to Knot Theory.

58 Koblitz. p-adic Numbers, p-adic Analysis, and Zeta-Functions. 2nd ed.

59 Lang. Cyclotomic Fields.

60 Arnold. Mathematical Methods in Classical Mechanics. 2nd ed.

61 Whitehead. Elements of Homotopy Theory.

62 Kargapolov/Merlzjakov. Fundamentals of the Theory of Groups.

63 Bollobas. Graph Theory. (continued after index)

64 Edwards. Fourier Series. Vol. I. 2nd ed.

65 Wells. Differential Analysis on Complex Manifolds. 2nd ed.

66 Waterhouse. Introduction to Affme Group Schemes.

67 Serre. Local Fields.

68 Weidmann. Linear Operators in Hilbert Spaces.

69 Lang. Cyclotomic Fields II.

70 Massey. Singular Homology Theory.

71 Farkas/Kra. Riemann Surfaces. 2nd ed.

72 Stillwell. Classical Topology and Combinatorial Group Theory. 2nd ed.

73 Hungerford. Algebra.

74 Davenport. Multiplicative Number Theory. 3rd ed.

75 Hochschild. Basic Theory of Algebraic Groups and Lie Algebras.

76 Iitaka. Algebraic Geometry.

77 Hecke. Lectures on the Theory of Algebraic Numbers.

78 Burris/Sankappanavar. A Course in Universal Algebra.

79 Walters. An Introduction to Ergodic Theory.

80 Robinson. A Course in the Theory of Groups. 2nd ed.

81 Forster. Lectures on Riemann Surfaces.

82 Bott/Tu. Differential Forms in Algebraic Topology.

83 Washington. Introduction to Cyclotomic Fields. 2nd ed.

84 Ireland/Rosen. A Classical Introduction to Modern Number Theory. 2nd ed.

85 Edwards. Fourier Series. Vol. II. 2nd ed.

86 van Lint. Introduction to Coding Theory. 2nd ed.

87 Brown. Cohomology of Groups.

88 Pierce. Associative Algebras.

89 Lang. Introduction to Algebraic and Abelian Functions. 2nd ed.

90 Brondsted. An Introduction to Convex Poly topes.

91 Beardon. On the Geometry of Discrete Groups.

92 Diestel. Sequences and Series in Banach Spaces.

93 Dubrovin/Fomenko/Novikov. Modern Geometry—Methods and Applications. Part I. 2nd ed.

94 Warner. Foundations of Differentiable Manifolds and Lie Groups.

95 Shiryaev. Probability. 2nd ed.

96 Conway. A Course in Functional Analysis. 2nd ed.

97 Koblitz. Introduction to Elliptic Curves and Modular Forms. 2nd ed.

98 Brocker/Tom Dieck. Representations of Compact Lie Groups.

99 Grove/Benson. Finite Reflection Groups. 2nd ed.

100 Berg/Christensen/Ressel. Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions.

101 Edwards. Galois Theory.

102 Varadarajan. Lie Groups, Lie Algebras and Their Representations.

103 Lang. Complex Analysis. 3rd ed.

104 Dubrovin/Fomenko/Novikov. Modern Geometry—Methods and Applications. Part II.

105 Lang. SL2(R).

106 Silverman. The Arithmetic of Elliptic Curves.

107 Olver. Applications of Lie Groups to Differential Equations. 2nd ed.

108 Range. Holomorphic Functions and Integral Representations in Several Complex Variables.

109 Lehto. Univalent Functions and Teichmuller Spaces.

110 Lang. Algebraic Number Theory.

111 Husemoller. Elliptic Curves. 2nd ed.

112 Lang. Elliptic Functions.

113 Karatzas/Shreve. Brownian Motion and Stochastic Calculus. 2nd ed.

114 Koblitz. A Course in Number Theory and Cryptography. 2nd ed.

115 Berger/Gostiaux. Differential Geometry: Manifolds, Curves, and Surfaces.

116 Kelley/Srinivasan. Measure and Integral. Vol. I.

117 J.-P. Serre. Algebraic Groups and Class Fields.

118 Pedersen. Analysis Now.

119 Rotman. An Introduction to Algebraic Topology.

120 Ziemer. Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation.

121 Lang. Cyclotomic Fields I and II. Combined 2nd ed.

122 Remmert. Theory of Complex Functions. Readings in Mathematics

123 Ebbinghaus/Hermes et al. Numbers. Readings in Mathematics

124 Dubrovin/Fomenko/Novikov. Modern Geometry—Methods and Applications. Part III

125 Berenstein/Gay. Complex Variables: An Introduction.

126 Borel. Linear Algebraic Groups. 2nd ed.

127 Massey. A Basic Course in Algebraic Topology.

128 Rauch. Partial Differential Equations.

129 Fulton/Harris. Representation Theory: A First Course. Readings in Mathematics

130 Dodson/Poston. Tensor Geometry.

131 Lam. A First Course in Noncommutative Rings. 2nd ed.

132 Beardon. Iteration of Rational Functions.

133 Harris. Algebraic Geometry: A First Course.

134 Roman. Coding and Information Theory.

135 Roman. Advanced Linear Algebra.

136 Adkins/Weintraub. Algebra: An Approach via Module Theory.

137 Axler/Bourdon/Ramey. Harmonic Function Theory. 2nd ed.

138 Cohen. A Course in Computational Algebraic Number Theory.

139 Bredon. Topology and Geometry.

140 AUBIN. Optima and Equilibria. An Introduction to Nonlinear Analysis.

141 Becker/Weispfenning/Kredel. Grubner Bases. A Computational Approach to Commutative Algebra.

142 Lang. Real and Functional Analysis. 3rd ed.

143 DOOB. Measure Theory.

144 DENNIS/FARB. Noncommutative Algebra.

145 VlCK. Homology Theory. An Introduction to Algebraic Topology. 2nd ed.

146 BRIDGES. Computability: A Mathematical Sketchbook.

147 ROSENBERG. Algebraic ^-Theory and Its Applications.

148 ROTMAN. An Introduction to the Theory of Groups. 4th ed.

149 RATCLIFFE. Foundations of Hyperbolic Manifolds.

150 ElSENBUD. Commutative Algebra with a View Toward Algebraic Geometry.

151 Silverman . Advanced Topics in the Arithmetic of Elliptic Curves.

152 ZIEGLER. Lectures on Polytopes.

153 FULTON. Algebraic Topology: A First Course.

154 BROWN/PEARCY. An Introduction to Analysis.

155 KASSEL. Quantum Groups.

156 KECHRIS. Classical Descriptive Set Theory.

157 Malliavin. Integration and Probability.

158 Roman. Field Theory.

159 CONWAY. Functions of One Complex Variable II.

160 LANG. Differential and Riemannian Manifolds.

161 BORWEIN/ERDELYI. Polynomials and Polynomial Inequalities.

162 Alperin/Bell. Groups and Representations.

163 DIXON/MORTIMER. Permutation Groups.

164 NATHANSON. Additive Number Theory: The Classical Bases.

165 NATHANSON. Additive Number Theory: Inverse Problems and the Geometry of Sumsets.

166 SHARPE. Differential Geometry: Cartan's Generalization of Klein's Erlangen Program.

167 MORANDI. Field and Galois Theory.

168 EWALD. Combinatorial Convexity and Algebraic Geometry.

169 BHATIA. Matrix Analysis.

170 BREDON. Sheaf Theory. 2nd ed.

171 PETERSEN. Riemannian Geometry.

172 Remmert. Classical Topics in Complex Function Theory.

173 Diestel. Graph Theory. 2nd ed.

174 BRIDGES. Foundations of Real and Abstract Analysis.

175 LICKORISH. An Introduction to Knot Theory.

176 LEE. Riemannian Manifolds.

177 NEWMAN. Analytic Number Theory.

178 CLARKE/LEDYAEV/STERN/WOLENSKI. Nonsmooth Analysis and Control Theory.

179 DOUGLAS. Banach Algebra Techniques in Operator Theory. 2nd ed.

180 Srivastava. A Course on Borel Sets.

181 KRESS. Numerical Analysis.

182 WALTER. Ordinary Differential Equations.

183 MEGGINSON. An Introduction to Banach Space Theory.

184 BOLLOBAS. Modern Graph Theory.

185 Cox/LITTLE/O'SHEA. Using Algebraic Geometry.

186 Ramakrishnan/Valenza. Fourier Analysis on Number Fields.

187 Harris/Morrison. Moduli of Curves.

188 GOLDBLATT. Lectures on the Hyperreals: An Introduction to Nonstandard Analysis.

189 LAM. Lectures on Modules and Rings.

190 ESMONDE/MURTY. Problems in Algebraic Number Theory. 2nd ed.

191 LANG. Fundamentals of Differential Geometry.

192 HIRSCH/LACOMBE. Elements of Functional Analysis.

193 COHEN. Advanced Topics in Computational Number Theory.

194 ENGEL/NAGEL. One-Parameter Semigroups for Linear Evolution Equations.

195 NATHANSON. Elementary Methods in Number Theory.

196 OSBORNE. Basic Homological Algebra.

197 EISENBUD/HARRIS. The Geometry of Schemes.

198 ROBERT. A Course in p-adic Analysis.

199 Hedenmalm/Korenblum/Zhu. Theory of Bergman Spaces.

200 BAO/CHERN/SHEN. An Introduction to Riemann-Finsler Geometry.

201 HlNDRY/SlLVERMAN. Diophantine Geometry: An Introduction.

202 Lee. Introduction to Topological Manifolds.

203 SAGAN. The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions.

204 ESCOFIER. Galois Theory.

205 Felix/Halperin/Thomas. Rational Homotopy Theory. 2nd ed.

206 MURTY. Problems in Analytic Number Theory. Readings in Mathematics

207 GODSIL/ROYLE. Algebraic Graph Theory.

208 Cheney. Analysis for Applied Mathematics.

209 ARVESON. A Short Course on Spectral Theory.

210 ROSEN. Number Theory in Function Fields.

211 LANG. Algebra. Revised 3rd ed.

212 MATOUSEK. Lectures on Discrete Geometry.

213 Fritzsche/Grauert. From Holomorphic Functions to Complex Manifolds.

214 JOST. Partial Differential Equations.

215 GOLDSCHMIDT. Algebraic Functions and Projective Curves.

216 D. SERRE. Matrices: Theory and Applications.

217 MARKER. Model Theory: An Introduction.

218 LEE. Introduction to Smooth Manifolds.

219 Maclachlan/Reid. The Arithmetic of Hyperbolic 3-Manifolds.

220 NESTRUEV. Smooth Manifolds and Observables.

221 GRUNBAUM. Convex Polytopes. 2nd ed.

222 HALL. Lie Groups, Lie Algebras, and Representations: An Elementary Introduction.

223 VRETBLAD. Fourier Analysis and Its Applications.

224 WALSCHAP. Metric Structures in Differential Geometry.

225 BUMP: Lie Groups